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Finding the Fourth Proportional to 1,114.02, 1,538.04 and 773.96

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Solution

The fourth proportional to 1,114.02, 1,538.04 and 773.96 is: 1,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.02 : 1,538.04 = 773.96 : x
  2. Step 2: Convert to fraction form
    1,114.02/1,538.04 = 773.96/x
  3. Step 3: Cross multiply
    1,114.02x = 1,538.04 × 773.96
  4. Step 4: Simplify right side
    1,114.02x = 1,190,373.75
  5. Step 5: Solve for x
    x = 1,190,373.75/1,114.02
  6. Step 6: Final answer
    x = 1,068.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.